Neutrosophic inverse power Lindley distribution: A modeling and application for bladder cancer patients

Abstract

The inverse power Lindley distribution is employed in the realm of survival analysis to imitate human lifetime data practices. The neutrosophic inverse power Lindley distribution (NIPLD) is intended to characterize a variety of survival data with indeterminacies. The established distribution is particularly useful for modeling uncertain data that is roughly positively skewed. This work discusses the key statistical properties of the developed NIPLD, including the neutrosophic survival function, neutrosophic hazard rate, and neutrosophic moments. In addition, the neutrosophic parameters are estimated using the well-known maximum likelihood estimation approach. To find out if the predicted neutrosophic parameters were reached, a simulation study is done. Not to mention, actual data has been utilized to discuss potential NIPLD real-world applications. Real data were used to illustrate how well the proposed model performed in compared to the current distributions.